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Linearization of Poisson actions and singular values of matrix products | Anton Alekseev
; Eckhard Meinrenken
; Chris Woodward
; | Date: |
14 Dec 2000 | Subject: | Symplectic Geometry; Representation Theory | math.SG math.RT | Abstract: | We prove that the linearization functor from the category of Hamiltonian K-actions with group-valued moment maps in the sense of Lu, to the category of ordinary Hamiltonian K-actions, preserves products up to symplectic isomorphism. As an application, we give a new proof of the Thompson conjecture on singular values of matrix products and extend this result to the case of real matrices. We give a formula for the Liouville volume of these spaces and obtain from it a hyperbolic version of the Duflo isomorphism. | Source: | arXiv, math.SG/0012112 | Services: | Forum | Review | PDF | Favorites |
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